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Topology of Algebraic Varieties and Singularities

Topology of Algebraic Varieties and Singularities
Author: José Ignacio Cogolludo-Agustín
Publisher: American Mathematical Soc.
Total Pages: 496
Release: 2011-01-01
Genre: Mathematics
ISBN: 0821873989

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This volume contains four parts which look at algebraic geometry and fundamental groups, braids and knots, hyperplane arrangements and singularities.


Homology Theory on Algebraic Varieties

Homology Theory on Algebraic Varieties
Author: Andrew H. Wallace
Publisher: Courier Corporation
Total Pages: 129
Release: 2015-01-14
Genre: Mathematics
ISBN: 0486787842

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Concise and authoritative monograph, geared toward advanced undergraduate and graduate students, covers linear sections, singular and hyperplane sections, Lefschetz's first and second theorems, the Poincaré formula, and invariant and relative cycles. 1958 edition.


Filtrations on the Homology of Algebraic Varieties

Filtrations on the Homology of Algebraic Varieties
Author: Eric M. Friedlander
Publisher: American Mathematical Soc.
Total Pages: 126
Release: 1994
Genre: Mathematics
ISBN: 0821825917

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This work provides a detailed exposition of a classical topic from a very recent viewpoint. Friedlander and Mazur describe some foundational aspects of ``Lawson homology'' for complex projective algebraic varieties, a homology theory defined in terms of homotopy groups of spaces of algebraic cycles. Attention is paid to methods of group completing abelian topological monoids. The authors study properties of Chow varieties, especially in connection with algebraic correspondences relating algebraic varieties. Operations on Lawson homology are introduced and analysed. These operations lead to a filtration on the singular homology of algebraic varieties, which is identified in terms of correspondences and related to classical filtrations of Hodge and Grothendieck.


Algebraic Geometry

Algebraic Geometry
Author: Spencer Bloch
Publisher: American Mathematical Soc.
Total Pages: 521
Release: 1987
Genre: Mathematics
ISBN: 082181480X

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Topology of Algebraic Varieties and Singularities

Topology of Algebraic Varieties and Singularities
Author: José Ignacio Cogolludo-Agustín
Publisher: American Mathematical Soc.
Total Pages: 496
Release: 2011
Genre: Mathematics
ISBN: 0821848909

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This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honour of Anatoly Libgober's 60th birthday, held June 22-26, 2009, in Jaca, Spain.


The Penrose Transform and Analytic Cohomology in Representation Theory

The Penrose Transform and Analytic Cohomology in Representation Theory
Author: Michael G. Eastwood
Publisher: American Mathematical Soc.
Total Pages: 274
Release: 1993
Genre: Mathematics
ISBN: 0821851764

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This book contains refereed papers presented at the AMS-IMS-SIAM Summer Research Conference on the Penrose Transform and Analytic Cohomology in Representation Theory held in the summer of 1992 at Mount Holyoke College. The conference brought together some of the top experts in representation theory and differential geometry. One of the issues explored at the conference was the fact that various integral transforms from representation theory, complex integral geometry, and mathematical physics appear to be instances of the same general construction, which is sometimes called the ``Penrose transform''. There is considerable scope for further research in this area, and this book would serve as an excellent introduction.


Algebraic Geometry and Topology

Algebraic Geometry and Topology
Author: Ralph Hartzler Fox
Publisher:
Total Pages: 418
Release: 1957
Genre: Algebraic topology
ISBN:

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What Determines an Algebraic Variety?

What Determines an Algebraic Variety?
Author: János Kollár
Publisher: Princeton University Press
Total Pages: 240
Release: 2023-07-25
Genre: Mathematics
ISBN: 0691246815

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"In this monograph, the authors approach a rarely considered question in the field of algebraic geometry: to what extent is an algebraic variety X determined by the underlying Zariski topological space ]X]? Before this work, it was believed that the Zariski topology could give only coarse information about X. Using three reconstruction theorems, the authors prove -- astoundingly -- that the variety X is entirely determined by the Zariski topology when the dimension is at least two. It offers both new techniques, as this question had not been previously studied in depth, and future paths for application and inquiry"--


Real Algebraic Geometry and Topology

Real Algebraic Geometry and Topology
Author: Selman Akbulut
Publisher: American Mathematical Soc.
Total Pages: 170
Release: 1995
Genre: Mathematics
ISBN: 0821802925

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This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology of nonsingular real algebraic sets, and the distribution of real algebraic sets in projective space.